List questions from number-theory

Published on 10 Apr 2026 - 19:12

240

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Congruences mod p#

Published on 16 Apr 2026 - 15:16

64

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Prove that $\mathbb{Z}_{2^k}^* \cong \mathbb{Z}_2 \times \mathbb{Z}_{2^{k-2}}$

Published on 10 Apr 2026 - 14:37

280

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How to formulate Langlands correspondence over a finite field?

Published on 12 Apr 2026 - 4:00

82

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Whittaker model equation

Published on 10 May 2026 - 14:03

137

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Given A,B and n find the minimum value of Ax-By where x+y = n

Published on 16 May 2026 - 1:45

230

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Find $p$ if $2p-1$ is a perfect square

Published on 15 Apr 2026 - 17:06

63

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On some inequalities relating the special/Euler prime and non-Euler part of odd perfect numbers

Published on 10 May 2026 - 20:17

112

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Exercise 1.6 [Goldbach 1752] of An introduction to number theory

Published on 15 Apr 2026 - 11:07

106

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Let $f(x)$ be defined for all rational $x$ in $0\leq x\leq 1$

Published on 13 May 2026 - 21:13

412

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Proof of Bertrand's postulate

Published on 12 Apr 2026 - 9:53

284

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When does a Mordell curve have non-trivial torsion?

Published on 14 May 2026 - 2:34

155

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For $n \ge 20$, there are at least $0.6 \cdot \frac{2^n}{n}$ primes in $\left[2^{n-1},2^n - 1\right]$.

Published on 17 Apr 2026 - 15:17

100

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When can we factor $N$ efficiently with a representation $N^2=a^2+b^2$?

Published on 11 May 2026 - 8:23

149

Views

Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

Published on 10 Apr 2026 - 1:09

List Question

Showing that an ideal is not principal in $\mathbb{Z}[\sqrt{-21}]$

Congruences mod p#

Prove that $\mathbb{Z}_{2^k}^* \cong \mathbb{Z}_2 \times \mathbb{Z}_{2^{k-2}}$

How to formulate Langlands correspondence over a finite field?

Whittaker model equation

Given A,B and n find the minimum value of Ax-By where x+y = n

Find $p$ if $2p-1$ is a perfect square

On some inequalities relating the special/Euler prime and non-Euler part of odd perfect numbers

Exercise 1.6 [Goldbach 1752] of An introduction to number theory

Let $f(x)$ be defined for all rational $x$ in $0\leq x\leq 1$

Proof of Bertrand's postulate

When does a Mordell curve have non-trivial torsion?

For $n \ge 20$, there are at least $0.6 \cdot \frac{2^n}{n}$ primes in $\left[2^{n-1},2^n - 1\right]$.

When can we factor $N$ efficiently with a representation $N^2=a^2+b^2$?

Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

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